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Perelman's l-distrance

Journal Article


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Abstract


  • This talk is a preparation of the necessary tools for proving the non-collapsing

    results. The L-length defined by Perelman is the analog of an energy path, but

    defined in a Riemannian manifold context. The length is used to define the l

    reduced distance and later on, the reduced volume. So far the properties of the

    l-length have two applications in the proof of the Poincar´e conjecture. Associated

    with the notion of reduced volume, they are used to prove non-collapsing results

    and also to study the κ- solutions.

Publication Date


  • 2008

Citation


  • Vulcanov, V. (2008). Perelman''s l-distrance. Oberwolfach Reports, 46 2637-2638.

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=3194&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2185

Number Of Pages


  • 1

Start Page


  • 2637

End Page


  • 2638

Volume


  • 46

Abstract


  • This talk is a preparation of the necessary tools for proving the non-collapsing

    results. The L-length defined by Perelman is the analog of an energy path, but

    defined in a Riemannian manifold context. The length is used to define the l

    reduced distance and later on, the reduced volume. So far the properties of the

    l-length have two applications in the proof of the Poincar´e conjecture. Associated

    with the notion of reduced volume, they are used to prove non-collapsing results

    and also to study the κ- solutions.

Publication Date


  • 2008

Citation


  • Vulcanov, V. (2008). Perelman''s l-distrance. Oberwolfach Reports, 46 2637-2638.

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=3194&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2185

Number Of Pages


  • 1

Start Page


  • 2637

End Page


  • 2638

Volume


  • 46